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Cohen-Tannoudji C., Dupont-Roc J., Grynberg G. Photons and atoms: introduction to quantum electrodynamic
Cohen-Tannoudji C., Dupont-Roc J., Grynberg G.  Photons and atoms: introduction to quantum electrodynamic









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: Photons and atoms: introduction to quantum electrodynamic

: Cohen-Tannoudji C., Dupont-Roc J., Grynberg G.

:

Photons and Atoms: Introduction to Quantum Electrodynamics provides the necessary background to understand the various physical processes associated with photon-atom interactions. It starts with elementary quantum theory and classical electrodynamics and progresses to more advanced approaches. A critical comparison is made between these different, although equivalent, formulations of quantum electrodynamics.
Using this format, the reader is offered a gradual, yet flexible introduction to quantum electrodynamics, avoiding formal discussions and excessive shortcuts. Complementing each chapter are numerous examples and exercises that can be used independently from the rest of the book to extend each chapter in many disciplines depending on the interests and needs of the reader.


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: 1997

: 488

: 15.08.2005

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Absorption (of photons)      316 325 338e 344e 348e 348e 349e
Action for a discrete system      81
Action for a field      92
Action for a real motion      134 152e
Action, functional derivative      128
Action, principle of least action      79 81
Adiabatic (switching on)      299
Adjoint (relativistic)      411
Angular for a general field      152
Angular for a spin-1 particle      49
Angular for a spinless particle      137
Angular for the field + particle systems      8 20 118 174 200
Angular of the transverse field      20 27 47
Angular, conservation      8 139 200
Angular, contribution of the longitudinal electric field      20 45
Angular, eigenfunctions for a spin      1
Angular, particle      53
Annihilation and creation operators      (see also Expansion in a and $a^{+}$ Translation
Annihilation and creation operators for electrons and positrons      414 433
Annihilation and creation operators for photons      33 121 294
Annihilation and creation operators for scalar photons      381 391 443 446
Annihilation and creation operators, $a_{d}$ and $a_{g}$ operators      394 429
Annihilation and creation operators, $a_{\mu}$ and $\bar{a}_{\mu}$ operators      391
Annihilation and creation operators, anticommutation relations      163
Annihilation and creation operators, commutation relations      121 171 391
Annihilation and creation operators, evolution equation      179 217 249
Antibunching      211
Anticommutation relations and positivity of energy      99 416 440 453
Anticommutation relations for a complex field      98
Anticommutation relations for the Dirac field      414 415 453
Anticommutation relations for the Schroedinger field      99 162
Antihermiticity      (see Scalar potential)
Antiparticle      187 413 433
Approximation, long wavelength      202 269 275 304 342
Approximation, nonrelativistic      103 122 200
Autocorrelation      229
Basis in reciprocal space      25 36
Basis of vector functions      51 55
Bessel functions      345
Bessel, spherical Bessel functions      56 71
Born expansion      300
Bose Einstein distribution      234 238
Bosons      99 161 187
boundary conditions      (see Periodic boundary conditions)
Canonical (commutation relations)      (see also Commutation relations Quantization
Canonical (commutation relations) for a discrete system      89 90 147 155 258
Canonical (commutation relations) for a field      94 98 148 158 380
Center of mass      232 342
Change      (see also Gauge Lagrangian
Characteristic functions      236
Charge      (see also Density)
Charge conjugation      438
Charge, conservation      7 12 108 368 411 416 421
Charge, total      416
Classical electrodynamics in real space      7
Classical electrodynamics in reciprocal space      11
Classical electrodynamics in the Coulomb gauge      111 121
Classical electrodynamics in the Lorentz gauge      364
Classical electrodynamics in the Power-Zienau-Woolley picture      286
Classical electrodynamics, standard Lagrangian      100
Coherent state      (see Quasi-classical states of the field)
Commutation relations for electromagnetic fields in real space      120 173 230
Commutation relations for electromagnetic fields in reciprocal space      119 145 380
Commutation relations for free fields in the Heinsenberg picture      223 355 382
Commutation relations for the operators a and a      391 395
Commutation relations for the operators a and o      34 171 241 391 394 443
Commutation relations for the particles      34 118 145 171
Commutation relations of the fields with the energy and the momentum      233 383 417
Commutation relations, canonical commutation relations for a discrete system      89 147 155 258
Commutation relations, canonical commutation relations for an arbitrary field      94 98 148
Commutation relations, covariant commutation relations      381 382 391
COMPLEX      (see Dynamical variables Fields
Compton, scattering      198
Compton, wavelength      202
Conjugate momenta of the electromagnetic potentials in the Coulomb gauge      115 116 143
Conjugate momenta of the electromagnetic potentials in the Lorentz gauge      369
Conjugate momenta of the electromagnetic potentials in the Power Zienau Woolley representation      289 291 294
Conjugate momenta of the particle coordinates for the matter field      157
Conjugate momenta of the particle coordinates in the Coulomb gauge      20 115 143
Conjugate momenta of the particle coordinates in the Goeppert Mayer representation      270
Conjugate momenta of the particle coordinates in the Henneberger representation      276
Conjugate momenta of the particle coordinates in the Power Zienau Woolley representation      289 290 293
Conjugate momenta of the particle coordinates, transformation in a gauge change      267
Conjugate momentum (general) in quantum mechanics      258 266
Conjugate momentum (general) of a complex generalized coordinate      88 96 154
Conjugate momentum (general) of a discrete generalized coordinate      83 147 256
Conjugate momentum (general) of a field      93 96 148
Conjugate momentum (general), transformation in a change of generalized coordinates      85
Conjugate momentum (general), transformation in a change of Lagrangian      257
Conservation of angular momentum      8 139 200
Conservation of charge      7 12 108 368 411 416 421
Conservation of energy      8 61 137 200
Conservation of momentum      8 61 138 200 232
Constant of the motion      8 61 134 152 200 370
Contact interaction      42
Continuous limit (for a discrete system)      126 147
Convolution product      11
Correlation function      181 191 227
Correlation time      191
Coulomb      (see also Coulomb gauge)
Coulomb gauge      (see also Hamiltonian (total) Lagrangians
Counting signals      (see Photodetection signals)
Covariant Lagrangians for classical particles      106
Covariant Lagrangians for coupled electromagnetic and Dirac fields      45
Covariant Lagrangians for the electromagnetic field (standard Lagrangian)      106 365
Covariant, commutation relations      391
Covariant, formulation      361
Covariant, notation and equations      10 17 364 411 449
Creation operator      (see Annihilation and creation operators)
Cross-section      (see Scattering)
Current of magnetization      284
Current of polarization      284
Current, density      7 101 115 410 419
Current, four-vector      10 365 411
Cutoff      124 190 200 287
Damping (radiative)      71 76
Darwin term      440
Delta function (transverse)      14 36 38 42 64 120 173 231
density      (see also Quasi-probability density)
Density of charge      7 101 309 410 419 434 454
Density of current      7 101 115 410 419
Density of magnetization      42 284 285 292
Density of polarization      281 292 308 329
Density, Hamiltonian      93 106 147 158 370
Density, Lagrangian      91 101 106 113 147 157 167 365 369 441
Diamagnetic energy      290 293
Dipole moment      (see Electric dipole Magnetic
Dipole-dipole interaction, electric      313
Dipole-dipole interaction, magnetic      43
Dirac, delta function      94
Dirac, Hamiltonian      410
Dirac, matrices      409
Dirac, quation      408 449 452
Discretization      31
Dispacement      282 291 292 308 310
Dynamical variables for a discrete system      81
Dynamical variables for a field      90
Dynamical variables, canonically conjugate      34 86 93 257 258 369
Dynamical variables, change of dynamical variables in the Hamiltonian      86 260
Dynamical variables, change of dynamical variables in the Lagrangian      84
Dynamical variables, complex dynamical variables      87 90
Dynamical variables, redundancy      109 113 154 157 362
dAlambertian      10 367
Effective (Hamiltonian)      435 438
Einstein      204
Electric dipole, approximation      270
Electric dipole, interaction      270 288 304 306 312 313 342
Electric dipole, moment      270 288 306 343
Electric dipole, self-energy      312
Electric dipole, wave      71
Electric field in the Coulomb gauge      117 122 172 Expansion)
Electric field in the Power Zienau Woolley picture      295
Electric field of an oscillating dipole moment      71 353
Electric field, longitudinal      15 64 117 172 283
Electric field, total      66 117 172 291 295 310 330 355
Electric field, transverse      21 24 27 32 64 117 171 287 295 310
electromagnetic field      (see also Expansion in normal variables External
Electromagnetic field in real space      7
Electromagnetic field in reciprocal space      12
Electromagnetic field, associated with a particle      68
Electromagnetic field, free      28 58 181 221 230 241
Electromagnetic field, mean value in the indefinite metric      396
Electromagnetic field, tensor $F^{\mu\nu}$      17 106 365 378
Electromagnetic potentials      (see also Free (fields potential) Gauge)
Electromagnetic potentials, covariant commutation reactions      382
Electromagnetic potentials, definition and gauge transformation      9
Electromagnetic potentials, four-vector potential      10 364 376
Electromagnetic potentials, mean value in the indefinite metric      396 406
Electromagnetic potentials, retarded      66
Electromagnetic potentials, volution equations      9 10 366 367
Electron      (see also Matter field)
Electron, classical radius      75
Electron, g-factor      439
Electron, lastically bound      74
Electron-positron pairs      123 413 417
Elimination of a dynamical variable      85 154 157
Elimination of the scalar potential      111
Emission (of photons)      344 348 349
Energy of the free field      183 378
Energy of the system field + particles      8 19 116
Energy of the transverse field      26 31
Energy, coulomb energy      18 114 173 283 401 403 426
Energy, interaction      18 122 330 401 426 435
Energy, interaction by exchange of photons      403
Energy, negative energy states      413
Energy, potential      16 67 172 407
Energy, scalar photons field      16 122 172 295
Energy, self-energy      18 71 201
Equivalence between relativistic Q. E. D. in the Lorentz and the Coulomb gauges      424
Equivalence between the $\textbf{A} \bullet \textbf{p}$ and $\textbf{E} \bullet \textbf{r}$ pictures      272 296 316 321 337 356
Equivalence between the $\textbf{A} \bullet \textbf{p}$ and $\textbf{Z} \bullet \nabla\textbf{V}$ pictures      349
Equivalence between the various formulations of electrodynamics      253 300 302
Expansion in $a$ and $a^{+}$ (or in a and a) of the electric and magnetic fields      171 241
Expansion in $a$ and $a^{+}$ (or in a and a) of the four-vector potential      391
Expansion in $a$ and $a^{+}$ (or in a and a) of the Hamiltonian and momentum in the Lorentz gauge      382 391
Expansion in $a$ and $a^{+}$ (or in a and a) of the Hamiltonian and momentum of the transverse field      172
Expansion in $a$ and $a^{+}$ (or in a and a) of the transverse vector potential      171
Expansion in normal variables of the electric and magnetic fields      27 28 32
Expansion in normal variables of the four-vector potential      372 376
Expansion in normal variables of the Hamiltonian and momentum in the Lorentz gauge      378 379
Expansion in normal variables of the transverse field angular momentum      27 48
Expansion in normal variables of the transverse field Hamiltonian      27 31
Expansion in normal variables of the transverse field momentum      27 31
Expansion in normal variables of the transverse vector potential      29 31
External field      141 172 178 180 198 Lagrangians
External sources (for radiation)      24 219 314 370 372 400 418
Factored states      207
Fermi, golden rule      323
Fermi, Lagrangian      366
Fermion      99 161 413 414
Fields (in general)      (see also Angular momentum Energy Hamiltonian Lagrangian Momentum)
Fierz      (see Pauli-Fierz-Kramers transformation)
final      (see Initial and final states of a process)
Fock space      31 175
Four-vector, current      10 365 411
Four-vector, field energy-momentum      379
Four-vector, potential      10 364 376
Fourier transform      11 12 15 56 97
Free (fields, potentials)      28 58 183 205 373 376 382 414
Fresnel mirror      208
Functional derivative      92 126 Lorentz
Gauge transformation and phase of the matter field      167 449
Gauge, invariance      8 17 107 269
Gauge, transformation      9 13 108 255 267 270 331 368 375 397
Generalized coordinates, change of      86 260
Generalized coordinates, complex      87 88
Generalized coordinates, real      81 84
Goeppert Mayer transformation      269 275 304
Ground state of the quantized Dirac field      417
Ground state of the radiation field      186 189 252 385 386 394
Hamiltonian (total) in the Coulomb gauge      20 33 116 138 173 439
Hamiltonian (total) in the Coulomb gauge with external fields      144 174 198
Hamiltonian (total) in the Power-Zienau-Wooley picture      289 292 295 329
Hamiltonian (total) of coupled Dirac and Maxwell fields      419 431 451
Hamiltonian and energy      83 136 146
Hamiltonian for a discrete system      83 147
Hamiltonian for a field      93 97 148
Hamiltonian for particles in an external field for a Dirac particle      410
Hamiltonian for particles in an external field for an ion      342
Hamiltonian for particles in an external field for the quantized Dirac field      419
Hamiltonian for particles in an external field, electric dipole representation $(\textbf{E} \bullet \textbf{r})$      271 304 320
Hamiltonian for particles in an external field, Henneberger picture      277
Hamiltonian for particles in an external field, standard representation $(\textbf{A} \bullet \textbf{p})$      144 198 266 317
Hamiltonian for radiation coupled to external sources in the Couilomb gauge      218
Hamiltonian for radiation coupled to external sources in the electric dipole representation      314 353
Hamiltonian for radiation coupled to external sources in the Lorentz gauge      370 400 418
Hamiltonian in quantum theory      89 259
Hamiltonian of the particles for two particles with opposite charges      23 2
Hamiltonian of the particles for two separated systems of charges      313 328
Hamiltonian of the particles of the quantized Dirac Field      415
Hamiltonian of the particles, Dirac Hamiltonian      410
Hamiltonian of the particles, expression of      144 197
Hamiltonian of the particles, Pauli Hamiltonian      432
Hamiltonian of the particles, physical meaning in various representations      271 297
Hamiltonian with complex dynamical variables      88 97 154 157
Hamiltonian, transformation of      258 261 263
Hamiltons equations for a discrete system      83
Hamiltons equations for a field      94 132 371
Heaviside function      226
Heisenberg, equation      89
Heisenberg, equations for $a$ and $a^{+}$      179 217 249 420
Heisenberg, equations for the matter fields      99 161 420
Heisenberg, equations for the particle      177
Heisenberg, picture      89 176 185 218 221 382
Heisenberg, relations      241 248
Henneberger transformation      275 344 349
Hilbert space      89 387
Hole theory      413
Hydrogen atom, $1s-2s$ two-photon transition      324 338
Hydrogen atom, Lamb transition      327
Indefinite metric      387 391 445
Indefinite metric and probabilistic interpretation      390 392
Independent variables      95 109 121 362
Initial and final states of a process      264 271 296 300 302 317 326 337
Instantaneous      (see also Nonlocality)
Instantaneous, Coulomb field and transverse field      16 21 64 67 122 291 292
Instantaneous, interactions      18 122 313 330
Intensity correlations      186
Intensity of light      185
Interaction Hamiltonian between particles and radiation in relativistic Q. E. D.      419
Interaction Hamiltonian between particles and radiation in the Coulomb gauge      197 232
Interaction Hamiltonian between particles and radiation in the electric dipole representation      271 307 312 315
Interaction Hamiltonian between particles and radiation in the Power Zienau- Woolley representation      290 292 296 329
interactions      (see Contact interaction Coulomb Dipole-dipole Electric Instantaneous Magnetic Quadrupole Retarded)
Interference phenomena with one photon      208 210
Interference phenomena with two laser beams      208 212
Interference phenomena with two photons      209 211
Interference phenomena, quantum theory of light interference      204
Interferences for transition amplitude      213
Invariance      (see also Covariant)
Invariance, gauge invariance      9 107 167 267
Invariance, relativistic invariance      10 15 106 114
Invariance, translational and rotational      134 153 200 370
Ion (interaction Hamiltonian with the radiation field)      342
Kramers      (see Pauli Fierz Kramers transformation)
Kronecker (delta symbol)      94 148
Lagranges equations for a discrete system      82 129 147
Lagranges equations for a field      92 96 131 147 150
Lagranges equations for a matter field      157 167 367 449
Lagranges equations for the electromagnetic potentials      104 142 150 151 366
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